Mathematics: Which number is the additive inverse of -4 1/4

Which number is the additive inverse of -4 1/4 - id4142817049, gabriella1232002

cruzdaniellouise21

05.01.2022

$4\frac{1}{4}$

Step-by-step explanation:

We are given that a number

$-4\frac{1}{4}$

We have to find the number which is additive inverse of given number.

Additive inverse: That number which is equal and opposite to given number and when added to given number then their sum will be zero.

To find the additive inverse of given number we will convert given number inti simple farction .

$-4\frac{1}{4}=(4+\frac{1}{4})=-\frac{16+1}{4}=-\frac{17}{4}$

$-\frac{17}{4}+\frac{17}{4}=\frac{-17+17}{4}=0$

The number $\frac{17}{4}$ is equal to given number and opposite to given number and sum of $-\frac{17}{4}$ and $\frac{17}{4}$ is equal to zero.

Hence, the additive inverse of given number is

$\frac{17}{4}=4\frac{1}{4}$

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